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The editor of an anthology of short stories has to select authors from [#permalink]

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01 Feb 2018, 03:20

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33%(00:00) correct 67%(01:04) wrong based on 12 sessions

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The editor of an anthology of short stories has to select authors from a pool of 12 authors, of which 4 are female. If the anthology is to include the work of 8 authors of which at least 2 must be female, in how many ways can the editor select the authors?

The editor of an anthology of short stories has to select authors from [#permalink]

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01 Feb 2018, 08:02

saswata4s wrote:

The editor of an anthology of short stories has to select authors from a pool of 12 authors, of which 4 are female. If the anthology is to include the work of 8 authors of which at least 2 must be female, in how many ways can the editor select the authors?

A) 168B) 201C) 294D) 462E) 495

If we need to include 8 authors where a minimum of 2 authors have to be female, there are 3 ways we can choose the authors.

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The editor of an anthology of short stories has to select authors from a pool of 12 authors, of which 4 are female. If the anthology is to include the work of 8 authors of which at least 2 must be female, in how many ways can the editor select the authors?

A) 168B) 201C) 294D) 462E) 495

We can use the formula:

Number of ways to select at least two female authors = Total number of ways to select the authors - number of ways to select 1 female author or no female authors

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